Real-World Inequalities: Solve and Model Everyday Scenarios

A store sells pencils for $0.50 each and erasers for $0.75 each. If you want to spend no more than $10, how many pencils (p) and erasers (e) can you buy? Write the inequality and solve for p and e.

• 50p + 75e ≤ 500

• 25p + 50e ≤ 1000

• 100p + 75e ≤ 1000

• 50p + 75e ≤ 1000

A class has 30 students. If at least 15 students must pass a test to have a pizza party, what is the minimum number of students that can fail the test? Write the inequality and solve for the number of failing students.

• 20

• 10

• 15

• 25

A concert hall can hold a maximum of 500 people. If 200 tickets have already been sold, how many more tickets (t) can be sold without exceeding the capacity? Write the inequality and solve for t.

• 250

• 400

• 150

• 300

A farmer has 120 apples and wants to pack them into boxes. Each box can hold 8 apples. What is the maximum number of boxes (b) the farmer can fill? Write the inequality and solve for b.

• 12

• 18

• 15

• 10

A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, how many classes (c) can they attend? Write the inequality and solve for c.

• 10

• 14

• 16

• 12

A school is planning a field trip and has a budget of $1,200. If each student pays $20, how many students (s) can attend without exceeding the budget? Write the inequality and solve for s.

• 60

• 80

• 50

• 70

A recipe requires at least 2 cups of flour and at most 5 cups. If you have x cups of flour, write the inequality that represents how much flour you can use and solve for x.

• x > 5

• 2 <= x <= 5

• x < 2

• 1 <= x <= 4

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, how many miles (m) can they drive? Write the inequality and solve for m.

• m <= 250

• m <= 200

• m <= 300

• m <= 150

A local bakery makes cookies that sell for $2 each. If they want to make at least $200 in a day, how many cookies (c) do they need to sell? Write the inequality and solve for c.

• c = 150

• c <= 90

• c < 100

• c >= 100

A student has a budget of $50 to spend on books. If each book costs $12, how many books (b) can the student buy without exceeding the budget? Write the inequality and solve for b.

• 4

• 6

• 5

• 3